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Question
If R = {(x, y) : x + 2y = 8} is a relation on N by, then write the range of R.
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Solution
R = {(x, y) : x + 2y = 8, x, y ∈ N}
Then, the values of y can be 1, 2, 3 only.
Also, y = 4 cannot result in x = 0 because x is a natural number.
Therefore, range of R is {1, 2, 3}.
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